Answer:
8x²+5x+1
Step-by-step explanation:
3x²-5x+12
5x²+ x - 11
________
3x²+5x²= 8x²
}
5x+x =5x
}
12-11 =1
=
8x²+5x+1
Answer:
A) (2x − 7) (4x² + 14x + 49)
C) (3x + 5) (9x² − 15x + 25)
Step-by-step explanation:
Sums and differences of cubes factor as:
a³ + b³ = (a + b) (a² − ab + b²)
a³ − b³ = (a − b) (a² + ab + b²)
8x³ − 343 is a difference of cubes.
(2x)³ − 7³
(2x − 7) (4x² + 14x + 49)
27x³ + 125 is a sum of cubes.
(3x)³ + 5³
(3x + 5) (9x² − 15x + 25)
Answer:
b. 21
Step-by-step explanation:
The first five mutiples of 7 are:<em> 7, 14, 21, 28, 35. </em>You can get these by multiplying 7 to any integer.
- 7x1 = 7
- 7x2 = 14
- 7x3 = 21
- 7x4 = 28
- 7x5 = 35
In order to get the average of these numbers, you have to add them and divide the sum to the total number of multiples.
Let's add first.
7+14+21+28+35 = 105
Let's divided 105 by 5, which is the number of the multiples of 7.
105÷5 = 21
<em>The answer is 21.</em>
For questions like these, you would plug the numbers in and then solve.
Since the coordinates are the same, it doesn't matter which coordinates go to where.
If we plug the numbers in on question A, we get -6 < -7 which isn't right.
On question B, we get 6 < 7 which also is wrong.
But on question C, We plug the numbers in, 0 - 7 < 2(0) - 6
This simplifies to -7 < -6 which is true!
C. is your final answer.